![]() ![]() With these special cases in mind, a keen eye might observe that rectangles satisfy conditions 2 and 3. Secondly, observe that if a leg is perpendicular to one of the bases, then it is automatically perpendicular to the other as well since the two are parallel. Firstly, note how we require here only one of the legs to satisfy this condition – the other may or may not. We've already mentioned that one at the beginning of this section – it is a trapezoid that has two pairs of opposite sides parallel to one another.Ī trapezoid whose legs have the same length (similarly to how we define isosceles triangles).Ī trapezoid whose one leg is perpendicular to the bases. We'd like to mention a few special cases of trapezoids here. The two other non-parallel sides are called legs (similarly to the two sides of a right triangle). Usually, we draw trapezoids the way we did above, which might suggest why we often differentiate between the two by saying bottom and top base. Diagonals of the rhombus bisect each other while diagonals of the rhombus intersect at the same ratio.The two sides, which are parallel, are usually called bases.Diagonals of the rhombus intersect each other at right angles while diagonals of the trapezoid are not necessarily perpendicular to each other.The triangles formed by the diagonals of the trapezoid are not necessarily congruent. Any diagonal of the rhombus separates the rhombus into two congruent triangles. ![]() ![]() Only the legs of the trapezoid can be equal. Trapezoid has unequal sides in general, with two sides parallel to each other. Rhombus has equal sides, with opposing sides parallel to each other.Each shape has four sides, and diamond shape refers to a rhombus. Rhombus and Trapezoid are well-defined mathematical objects while diamond shape is a layman’s term.What is the difference between Diamond, Rhombus and Trapezoid? Read the Difference Between Parallelogram and Trapezoid If a and b are bases and c,d are legs, the lengths of the diagonals are given byĪrea of the trapezoid can be calculated using the following formula.The two diagonals of the trapezium intersect at the same ratio (ratio between the section of the diagonals are equal).If the adjacent angles are not on the same base of the trapezoid, they are supplementary angles.The parallel sides of the trapezoid are known as the bases and the other two sides are called the legs.įollowing are main characteristics of trapezoids Trapezoid is a convex quadrilateral where at least two sides are parallel and unequal in length. The diagonals bisect the two opposite internal angles.Īrea of the rhombus can be calculated using the following formula.Each diagonal divides the quadrilateral into two congruent triangles.The diagonals bisect each other (AO=OC, BO=OD).A pair of sides, which are opposing each other, is parallel and equal in length.The adjacent angles are supplementary DÂB+A ̂DC = A ̂DC+B ̂CD = B ̂CD+A ̂BC = A ̂BC+D ̂AB = 180° = π rad.Two pairs of opposing angles are equal in size.In addition to the following properties of a parallelogram. The diagonals of the rhombus bisect each other at right angles diagonals are perpendicular to each other,.In general, a rhombus has the following special properties The square can be considered as a special case of the rhombus, where the internal angles are right angles. It can be considered as a parallelogram with equal sides. Rhombus is a special case of the parallelogram. Diamond shape is not a precisely defined geometrical entity. It is considered to have a diamond shape, similar to the one in the playing cards. It is also named as an equilateral quadrilateral. While rhombus and trapezium are properly defined in mathematics, diamond (or diamond shape) is a layman’s term for rhombus.Ī quadrilateral with all sides equal are in length is known as a rhombus. Diamond, Rhombus, and Trapezoid are all quadrilaterals, which are polygons with four sides. ![]()
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